thanks1.a^2n+a^2+n +a^n 分解因式2.已知x^4+x^3+x^2+x+1=0,求x^100+x^99+x^98+x^97+x^96的值

thanks1.a^2n+a^2+n +a^n 分解因式2.已知x^4+x^3+x^2+x+1=0,求x^100+x^99+x^98+x^97+x^96的值 (a^n+b^n)(a^2n-a^n*b^n+b^2n) 设a,n∈N*证明a^2n-(-a)^n≥(a+1)×a^n a^n+2-18a^n+81a^n-2 a^n+2+a^n+1-a^n因式分解 a^n+1+a^n-1-2a^n因式分解 a^n+2+a^n+1-3a^n因式分解 a^n+2-a^n的因式分解 因式分解:a^n+2-6a^n (a^n+1)-(a^n-2)等于 a^n+2-6a^n+5a^n-2(n>2且n为整数 求(n→∞)lim2^n-a^n/2^n+a^n(a≠-2) 求通项公式.a(n+1)=2a(n)+n 求极限,N趋向无穷,n^2 （(a+1/n)^(1/n)-a^(1/n)）n^2 *((a+1/n)^(1/n)-a^(1/n)) 数列a(n)=n (n+1)(n+2)(n+3),求S(n) 计算：(-a^2)^n （4a^2n-6a^n+1+2a^n)/2a^n 因式分解 证(a+1/a)^n-(a^n+1/a^n)≥2^n-2